3.8 Proceedings Paper

Exact Quantum Query Complexity of EXACTk,ln

Journal

SOFSEM 2017: THEORY AND PRACTICE OF COMPUTER SCIENCE
Volume 10139, Issue -, Pages 243-255

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/978-3-319-51963-0_19

Keywords

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Funding

  1. ERC Advanced Grant MQC
  2. Latvian State Research Programme NexIT Project [1]
  3. EU FP7 project QALGO
  4. People Programme (Marie Curie Actions) EU's 7th Framework Programme under REA grant [609427]
  5. Slovak Academy of Sciences
  6. Slovak Research and Development Agency [APVV-14-0878 QETWORK]

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In the exact quantum query model a successful algorithm must always output the correct function value. We investigate the function that is true if exactly k or 1 of the n input bits given by an oracle are 1. We find an optimal algorithm (for some cases), and a nontrivial general lower and upper bound on the minimum number of queries to the black box.

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